This paper demonstrates analytical relationship of influence coefficients between static-couple and multi-plane methods on two-plane balancing as well as its application. For the static-couple approach, cross effects are defined between static weights and couple response as well as between couple weights and static response, thus making it possible to offset both static and couple vibration vectors effectively with appropriate combination of static and couple weights. Relationship of influence coefficients between static/couple and individual probe due to static/couple weights is also given. Static, couple, or individual probe influence coefficients due to static or couple weights can be obtained directly without having to place static or couple trial weights if influence coefficients used in the multi-plane approach are known. From static and couple influence data as well as cross effects, influence data for the multi-plane approach can be obtained directly as well without having to place any trial weights at either plane. The above findings and conversion equations are obtained analytically, and verified by experimental results. Conversion of influence coefficients from multi-plane to static-couple format can determine whether static or couple weights are more effective as well as running vibration modes, while conversion from static-couple to multi-plane format can determine which balance plane is more effective.
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